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 Post subject: Where's WaldoCube?
PostPosted: Sun Jul 15, 2012 12:29 pm 
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Attachment:
WaldoCube.png
WaldoCube.png [ 2.22 MiB | Viewed 1060 times ]

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 Post subject: Re: Where's WaldoCube?
PostPosted: Sun Jul 15, 2012 12:35 pm 
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Top right. Now use these as super stickers!

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 Post subject: Re: Where's WaldoCube?
PostPosted: Sun Jul 15, 2012 1:00 pm 
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I took that picture inside Rox's puzzle cupboard while she wasn't looking. :lol:

Seriously, somebody should write a software program (iPhone app) to convert any photo/image into a pointillist version made up of individual Rubik's Cubes, like a Georges Seurat painting. Just need to collect a few dozen images of cubes from different angles (showing 1, 2 or 3 faces), measure the overall/average colour of each image, and then assign the appropriate image to each pixel in the photo.

A bit like this:

Image

But more like this:

Image

Easy. And beautiful.

:D

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 Post subject: Re: Where's WaldoCube?
PostPosted: Sun Jul 15, 2012 2:35 pm 
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Hey Kelvin, how was this image created? Did you use a computer program to place the individual images "randomly"? I ask because I noticed an anomaly in the placement of the images that leads me to believe an LCG chose the points.

I have place a point over one of the smaller images:
Attachment:
WaldoCube_anomaly.png
WaldoCube_anomaly.png [ 2.13 MiB | Viewed 949 times ]

Notice the tendency of the images to fall into diagonal lines? LCGs are very flawed PRNGs when you pick strings of values as points in a grid. The points always fall on N-1 dimensional hyperplanes in N-dimensional space. In this case, if an LCG was used to pick the rotation, and X, Y position it would be enough to place them on diagonals.

Here is a quick example I coded up of using an LCG to pick points in a 3D space:
Attachment:
lcg_flaw.png
lcg_flaw.png [ 28.38 KiB | Viewed 949 times ]


The rand() function for random numbers is implemented as an LCG in almost every programming language. It is for this reason that rand() is no good for picking points that need to be linearly independent.

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 Post subject: Re: Where's WaldoCube?
PostPosted: Sun Jul 15, 2012 2:56 pm 
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@bmenrigh: I'm afraid it wasn't so complex: I simply copied different images from the web (minus white background) to fill a blank ppt slide, grouped all these images together and reduced size to 20% to create a mini-mosaic, and then randomly pasted copies of this mini-mosaic at random angles and positions next to each other, to fill another blank slide. Then I grouped again, copied, rotated, grouped, and cropped the image. All this was manual, so any pattern comes down to non-random patterns in this method. Or my brain. So much for free will. :lol:

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 Post subject: Re: Where's WaldoCube?
PostPosted: Sun Jul 15, 2012 3:34 pm 
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So the problem isn't with a LCG but with my OCD :lol:

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 Post subject: Re: Where's WaldoCube?
PostPosted: Sun Jul 15, 2012 3:41 pm 
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bmenrigh wrote:
So the problem isn't with a LCG but with my OCD :lol:

Finding patterns in complex systems is a sign of high intelligence. But yes, looking for them *everywhere* is probably a sign of OCD. :lol:

PS. If you really want to show off your OCD, then you can break down the image into the unit mosaic, determine the order in which the individual images were copied on top of each other, and then find the same order of images in alternative Google searches, to determine what key words I used in my original image search. That would be very impressive, and also completely pointless. :wink:

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